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Finding the Fourth Proportional to 298,611.78, 412,084.20 and 164,475.78

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Solution

The fourth proportional to 298,611.78, 412,084.20 and 164,475.78 is: 226,976.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,611.78 : 412,084.20 = 164,475.78 : x
  2. Step 2: Convert to fraction form
    298,611.78/412,084.20 = 164,475.78/x
  3. Step 3: Cross multiply
    298,611.78x = 412,084.20 × 164,475.78
  4. Step 4: Simplify right side
    298,611.78x = 67,777,870,220.68
  5. Step 5: Solve for x
    x = 67,777,870,220.68/298,611.78
  6. Step 6: Final answer
    x = 226,976.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.